Angular momentum calculations in coronene mononegative ions

Analytical Scheme Calculations of Angular Momentum Coupling and Recoupling Coefficients

We investigate the Scheme programming language opportunities to analytically calculate the ClebschÄGordan coefˇcients, Wigner 6j and 9j symbols, and general recoupling coefˇcients that are used in the quantum theory of angular momentum. The considered coefˇcients are calculated by a direct evaluation of the sum formulas. The calculation results for large values of quantum angular momenta were c...

Angular Momentum in Chemistry

Noting that current chemical theory is based almost exclusively on electronic energy and spin variables the equal importance of orbital angular momentum is explored in this paper. From its classical definition the angular momentum of electrons in an atom is shown to obey Laplace’s equation, which automatically leads to discrete values in terms of spherical harmonics. This analysis assumes a con...

Angular Momentum

Angular Momentum in Quantum Mechanics

We begin with a review of the basic concepts involved in the quantum mechanical description of physical systems and the notation we will use in the lectures. The notes in this Section are not intended to provide an introductory course on Quantum Mechanics. They assume the reader has had at least a first course at undergraduate physics level that covers some historical background and reviews the...

Angular momentum in human walking.

Angular momentum is a conserved physical quantity for isolated systems where no external moments act about a body's center of mass (CM). However, in the case of legged locomotion, where the body interacts with the environment (ground reaction forces), there is no a priori reason for this relationship to hold. A key hypothesis in this paper is that angular momentum is highly regulated throughout...